Search: id:A049062
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%I A049062
%S A049062 4181,5474,5777,6479,6721,10877,12958,13201,15251,17302,27071,34561,
%T A049062 40948,41998,44099,47519,51841,54839,64079,64681,65471,67861,68251,
%U A049062 72831,75077,78089,88198,90061,95038,96049,97921
%N A049062 Composite n coprime to 5 such that Fibonacci(n) == Legendre(n,5) (mod 
               n).
%C A049062 If n is a prime, not 5, then Fibonacci(n) == Legendre(n,5) (mod n) (see 
               for example G. H. Hardy and E. M. Wright, Theory of Numbers).
%D A049062 Yorinaga, Masataka; On a congruencial property of Fibonacci numbers-considerations 
               and remarks. Math. J. Okayama Univ. 19 (1976/77), no. 1, 11-17.
%D A049062 Yorinaga, Masataka; On a congruencial property of Fibonacci numbers-numerical 
               experiments. Math. J. Okayama Univ. 19 (1976/77), no. 1, 5-10.
%t A049062 Select[ Range[ 2, 100000 ], ! PrimeQ[ # ] && Mod[ #, 5 ] != 0 && Mod[ 
               Fibonacci[ # ] - JacobiSymbol[ #, 5 ], # ] == 0 & ]
%Y A049062 Cf. A090820.
%Y A049062 Sequence in context: A043627 A104918 A045734 this_sequence A093372 A091982 
               A072322
%Y A049062 Adjacent sequences: A049059 A049060 A049061 this_sequence A049063 A049064 
               A049065
%K A049062 nonn,nice
%O A049062 1,1
%A A049062 N. J. A. Sloane (njas(AT)research.att.com).
%E A049062 Yorinaga gives table up to 707000.
%E A049062 More terms from Eric S Rowland, Apr 29 2004
%E A049062 Definition corrected by Eric S Rowland, Feb 24 2006

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